Average Error: 0.0 → 0.0
Time: 9.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r141170 = d1;
        double r141171 = d2;
        double r141172 = r141170 * r141171;
        double r141173 = d3;
        double r141174 = 5.0;
        double r141175 = r141173 + r141174;
        double r141176 = r141175 * r141170;
        double r141177 = r141172 + r141176;
        double r141178 = 32.0;
        double r141179 = r141170 * r141178;
        double r141180 = r141177 + r141179;
        return r141180;
}
↓
double f(double d1, double d2, double d3) {
        double r141181 = d1;
        double r141182 = d3;
        double r141183 = 5.0;
        double r141184 = r141182 + r141183;
        double r141185 = 32.0;
        double r141186 = r141184 + r141185;
        double r141187 = d2;
        double r141188 = r141186 + r141187;
        double r141189 = r141181 * r141188;
        return r141189;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]

Reproduce

herbie shell --seed 2019303 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))